Etude de l'algèbre de Lie double des arbres enracinés décorés
Résumé
the double Lie algebra L^D of rooted trees decorated by a set D is introduced, generalising the construction of Connes and Kreimer. It is shown that it is a simple Lie algebra. Its derivations and its automorphisms are described, as well as some central extensions. Finally, the category of lowest weight modules is introduced and studied.
Domaines
Anneaux et algèbres [math.RA]Origine | Fichiers produits par l'(les) auteur(s) |
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